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Finding the Fourth Proportional to 291,692.88, 402,536.17 and 164,373.03

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Solution

The fourth proportional to 291,692.88, 402,536.17 and 164,373.03 is: 226,834.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,692.88 : 402,536.17 = 164,373.03 : x
  2. Step 2: Convert to fraction form
    291,692.88/402,536.17 = 164,373.03/x
  3. Step 3: Cross multiply
    291,692.88x = 402,536.17 × 164,373.03
  4. Step 4: Simplify right side
    291,692.88x = 66,166,089,947.50
  5. Step 5: Solve for x
    x = 66,166,089,947.50/291,692.88
  6. Step 6: Final answer
    x = 226,834.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.